Advanced search
Publication Cover
Communications in Algebra Volume 39, 2010 - Issue 1
Submit an article Journal homepage
89
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Tornehave Morphisms I: Resurrecting the Virtual Permutation Sets Annihilated by Linearization

Laurence Barker Department of Mathematics, Bilkent University, Bilkent, Ankara, TurkeyCorrespondence[email protected]
Pages 355-395 | Received 05 Dec 2008, Published online: 20 Jan 2011

REFERENCES

  • Barker , L. ( 2006 ). Genotypes of irreducible representations of finite p-groups . J. Algebra 306 : 655 – 681 .
  • Barker , L. ( 2008 ). Rhetorical biset functors, rational biset functors and their semisimplicity in characteristic zero . J. Algebra 319 : 3810 – 3853 .
  • Barker , L. ( 2010 ). Tornehave morphisms II: the lifted Tornehave morphism and the dual of the Burnside functor . J. Pure Appl. Algebra 214 : 1759 – 1777 .
  • Barker , L. Tornehave morphisms III: the reduced Tornehave morphism and the Burnside unit functor. Preprint.
  • Boltje , R. , Pfeiffer , G. ( 2007 ). An algorithm for the unit group of the Burnside ring of a finite group . Groups St. Andrews 2005 1 : 230 – 236 (LMS Lecture Notes Ser. 339, Cambridge Univ. Press, Cambridge) .
  • Bouc , S. ( 1996 ). Foncteurs d'ensembles munis d'une double action . J. Algebra 183 : 664 – 736 .
  • Bouc , S. ( 2006 ). The Dade group of a p-group . Invent. Math. 164 : 189 – 231 .
  • Bouc , S. ( 2007 ). The functor of units of Burnside rings for p-groups . Comment. Math. Helv. 82 : 583 – 615 .
  • Bouc , S. ( 2008 ). Rational p-biset functors . Journal of Algebra 319 : 1776 – 1800 .
  • Bouc , S. , Yalçın , E. ( 2007 ). Borel–Smith functions and the Dade group . J. Algebra 311 : 821 – 839 .
  • Bourbaki , N. ( 1989 ). Elements of Mathematics. Lie Groups and Lie Algebras . Chapters 1–3. Berlin : Springer .
  • Tom Dieck , T. ( 1979 ). Transformation Groups and Representation Theory . Lecture Notes in Math. 766. Berlin : Springer .
  • Tom Dieck , T. ( 1987 ). Transformation Groups Berlin : De Gruyter .
  • Gluck , D. ( 1981 ). Idempotent formula for the Burnside algebra with applications to the p-subgroup simplical complex . Illinois J. Math. 25 : 63 – 67 .
  • Huppert , B. ( 1967 ). Endliche Gruppen, I . Berlin : Springer .
  • Onishchik , A. L. , Vinberg , E. B. ( 1990 ). Lie Groups and Algebraic Groups . Berlin : Springer .
  • Tornehave , J. ( 1984 ). The Unit Theorem for the Burnside Ring of a 2-Group . Aarhaus Universitet , Preprint Series 1983/84, No. 41 .
  • Yalçın , E. ( 2005 ). An induction theorem for the unit groups of Burnside rings of 2-groups . J. Algebra 289 : 105 – 127 .
  • Yoshida , T. ( 1990 ). On the unit groups of Burnside rings . J. Math. Soc. Japan 42 : 31 – 64 .
  • Communicated by J. Zhang.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.